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Finding the Third Proportional to 10,144 and 21,850

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Solution

The third proportional to 10,144 and 21,850 is: 47,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144 : 21,850 = 21,850 : x
  2. Step 2: Convert to fraction form
    10,144/21,850 = 21,850/x
  3. Step 3: Cross multiply
    10,144x = 21,850 × 21,850
  4. Step 4: Simplify right side
    10,144x = 477,422,500
  5. Step 5: Solve for x
    x = 477,422,500/10,144
  6. Step 6: Final answer
    x = 47,064.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.